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| Titel: |
Calculating connection coefficients for Meromorphic differential equations |
| Auteur: |
Lutz, D. A. Schafke, R. |
| Verschenen in: |
Complex variables and elliptic equations |
| Paginering: | Jaargang 34 (1997) nr. 1-2 pagina's 145-170 |
| Jaar: |
1997-09 |
| Inhoud: |
We consider systems of linear differential equations near an irregular singularity of rank one with a leading coefficient matrix having all distinct eigenvalues. The main results express connection coefficients (Stokes' multipliers and connection factors) as sums of convergent series or as limits of sequences, where the terms may be calculated in various ways. One way is to form certain explicit weighted sums of the coefficients in the formal or Frobenius series solutions. Another way is to recursively solve for the coefficients of a solution of a certain singular integral equation similar to the Frobenius method for differential equations near a regular singular point. In case the original differential equation has rational coefficients, then associated linear differential equations with rational coefficients can be constructed whose Frobenius solution determines die terms in the series or limits; hence all transformations are done within the class of “holonomic” functions. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 29 van 164 gevonden artikelen
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